1) integrating factor
积分因子
1.
Two special integrating factors of a non-complete differential equation;
一个非恰当方程的两类特殊积分因子
2.
The existence condition for some types of integrating factor;
关于某些积分因子的存在条件
3.
The application of th integrating factor of first order differential equation;
一阶微分方程积分因子的应用
2) integral factor
积分因子
1.
On integral factor approach for first derivative differential equation;
关于一阶方程的积分因子法
2.
The solution of first order ordinary differential equation with the integral factor of a product form
一阶常微分方程具有一种乘积形式积分因子的求解
3.
A new method is suggested to derive the Duhamel integral in the linear vibration systems of singledegreeof freedom for the response to arbitrary excitations by the depression of order of integral factor.
利用积分因子降阶法，给出了确定单自由度线性振动系统对任意激励响应的杜哈梅积分的一种新的推导方法。
4) multiplier integrating factor
乘积型积分因子
1.
Give the definition of multiplier integrating factor about differential equation.
通过定义常微分方程的乘积型积分因子,得到了乘积型积分因子存在的充要条件和计算公式。
5) higher order integral factors
高次积分因子
1.
Construction theorems of second and third order ordinary differential equations which admit higher order integrals are formulated by use of the method of determining higher order integral factors and higher order integrals for ordinary differential equations,and by use of the characteristic set method as well.
本文利用确定高次积分因子的引理与确定对应的高次积分的公式以及微分特征列集(吴)方法,给出了拥有高次积分的二阶三阶常微分方程结构定理。
2.
Firstly,the concepts of higher order integral factors and the corresponding higher or- der integrals of ODEs,which are generalization of the concepts of usual integral factors and first integral of ODEs,are put forward.
首先提出微分方程的积分因子和首次积分的推广高次积分因子与其对应的高次积分的概念。
6) integral tuning factor
积分校正因子
1.
In view of these shortcomings,a new kind of self-optimizing fuzzy controller is presented in this paper by utilizing simplex method to optimize the quantifying factor,scaling factor and integral tuning factor automatically.
在基本模糊控制器的基础上,利用单纯形法自动优化模糊控制器的量化因子、比例因子和积分校正因子。
补充资料：积分因子
积分因子
integrating factor
积分因子【勿峡卿山稽血ctor;“二印“pylo哪益M.二-犯JU.] 一阶常微分方程 P(x，夕)dx+Q(x，夕)d夕二0(l)的积分因子是具有下述性质的函数拜二拜(x，y)举。它使得 拜(x，y)p(戈，夕)dx+拼(x，夕)Q(x，夕)d夕”0是全微分方程(d正rerenhal eqUation withto词d迁re化n-tial).例如，对于线性微分方程y’十a(x)y二f(x)或者方程(a(x)y一f(幻)dx+dy=o，函数#=expf。(x) dx是一个积分因子.如果方程(1)在区域D(使得尸’十仓并0)中有光滑通积分(邵理ml访沈梦d)U(x，夕)“C，则它有无穷多个积分因子.如果p(x，夕)和Q(x，夕)在区域刀(使得p’+Q’护0)中具有连续偏导数，则偏微分方程 八刁。_日;.「日O口尸1。 O亡士生一P止匕上立+，，lwe兰公乙一止三一}二O “日x一日y尸!刁x ay} ‘一“(2)的任一非平凡特解都可取作积分因子，见【11.然而，不存在求(2)的解的一般方法，因此只在例外情形才对具体的方程(1)成功地求出积分因子，见【ZJ.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条